464060100 has 144 divisors (see below), whose sum is σ = 1546651008. Its totient is φ = 105231360.

The previous prime is 464060089. The next prime is 464060119. The reversal of 464060100 is 1060464.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 286894 + ... + 288506.

It is an arithmetic number, because the mean of its divisors is an integer number (10740632).

Almost surely, 2^464060100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464060100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773325504).

464060100 is an abundant number, since it is smaller than the sum of its proper divisors (1082590908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

464060100 is a wasteful number, since it uses less digits than its factorization.

464060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774 (or 1767 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 464060100 is about 21542.0542195957. The cubic root of 464060100 is about 774.2087519248.

The spelling of 464060100 in words is "four hundred sixty-four million, sixty thousand, one hundred".